An Algebraic System and Its Application |
Received:September 15, 2005 Revised:July 16, 2006 |
Key Words:
algebraic system Volterra lattice hierarchy integrable coupling system.
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Abstract: |
An algebraic system $X$ is constructed by using the known loop $\widetilde{A}_{1}$. Then a new isospectral problem is established by taking advantage of $X$, which is devoted to working out the well-known Volterra lattice hierarchy. And an extended algebraic system $\widetilde{X}$ of $X$ is presented, from which the integrable coupling systems of the Volterra lattice is obtained. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2008.01.027 |
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